I wanted to double-check on something. We all know that for a vector field $T$:

$\int dV \nabla \cdot T = \int d\hat{n}\cdot T$

My understanding is that this is still true if $T$ is a rank-2 tensor, it's just that the equation becomes a vector equation. But I wanted to double-check. Are there any wrinkles in using the divergence theorem in this case?


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